The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 1 X^2 1 1 X X 1 X^2 1 1 1 1 X^2 1 X^2+X 1 X 1 1 1 0 1 1 1 1 1 X^2+X 1 X^2+X 1 1 1 1 1 1 1 1 X^2+X 0 X 1 X^2+X X^2 1 X^2+X X^2 X 1 0 X^2+X 1 X^2 0 X 1 X X^2 0 1 1 0 X^2+X+1 1 X X^2+X+1 1 X^2+X 1 1 X+1 X 1 X^2+X X^2+1 1 1 X^2 1 X+1 X^2 X^2+1 X^2+1 1 0 1 1 1 X X+1 X^2+X 1 X X^2+X X^2+X+1 X X^2 1 X^2+X+1 1 1 X+1 1 X+1 X^2+X+1 X^2 1 0 1 1 1 X^2 1 0 X^2+X 1 1 1 X 1 1 X+1 X 1 X^2+X X X^2 1 0 0 X 0 X^2+X 0 0 X^2 X^2 0 0 X^2 X X X X X X^2+X X X X^2+X 0 X X^2+X 0 X^2 X X^2+X X X^2+X 0 X X^2 X^2 X^2+X X 0 X X^2 X^2+X X X^2 X^2+X 0 X^2+X X^2 0 X^2+X X X^2+X X^2+X X X^2+X X X^2 X X X 0 0 X^2 X^2+X 0 X X^2 X^2+X X 0 X^2+X 0 0 0 0 X 0 0 X X^2+X X^2+X X^2 X X X X^2 X^2 X^2+X X^2+X X X^2 X^2+X X^2+X 0 0 X^2 0 0 X^2+X X^2+X X^2+X X^2 X 0 0 X^2+X X 0 0 X^2 X^2+X X^2+X X X^2 X^2 X^2+X X X 0 X^2 X X^2 0 X^2+X 0 0 0 X X^2+X X X 0 X^2 0 X^2 0 X^2+X X X X 0 X^2+X 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 generates a code of length 70 over Z2[X]/(X^3) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+68x^61+159x^62+238x^63+308x^64+478x^65+538x^66+582x^67+723x^68+650x^69+741x^70+788x^71+687x^72+630x^73+476x^74+344x^75+278x^76+182x^77+97x^78+86x^79+38x^80+28x^81+29x^82+10x^83+10x^84+12x^85+6x^86+2x^88+1x^90+1x^92+1x^94 The gray image is a linear code over GF(2) with n=280, k=13 and d=122. This code was found by Heurico 1.16 in 4.92 seconds.